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Finding the Third Proportional to 217,486 and 326,220

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Solution

The third proportional to 217,486 and 326,220 is: 489,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,486 : 326,220 = 326,220 : x
  2. Step 2: Convert to fraction form
    217,486/326,220 = 326,220/x
  3. Step 3: Cross multiply
    217,486x = 326,220 × 326,220
  4. Step 4: Simplify right side
    217,486x = 106,419,488,400
  5. Step 5: Solve for x
    x = 106,419,488,400/217,486
  6. Step 6: Final answer
    x = 489,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.